Answer:
w = -7
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.
Divide -2 from both sides:
(14)/-2 = (-2w)/-2
(14)/-2 = w
Note that when you are dividing:
- 1 negative & 1 positive sign will result in a negative answer
- 2 negative sign will result in a positive
- 2 positive sign will result in a positive
In this case:
(14)/-2 = -7
-7 is your answer for w.
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Given:
In trapezoid
is the mid-segment of
.
To find:
The length of
.
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid
,




Isolate variable terms.


Now,




Therefore, the length of
is 230.
This question is incomplete because the options are missing. Here are the options:
A. - 4 = 5x
B. -4 = x
C. -4 + x = 0
D. -4 + 5x = 0
The correct next line of the solution is A. -4 = 5x
An equation is:
- A mathematical expression that represents mathematical equality between two expressions.
- It has two expressions and is separated by the equal sign, called members.
- It has known elements and unknown or unknown data represented with letters like x
According to the above, it can be inferred that the correct answer is option A. because it expresses the correct values according to the operations that have been carried out in the previous lines.
Learn more in: brainly.com/question/10413253
Here’s the answer and working out. Hope it helps
For this case we must resolve the following inequality:

Adding 7 to both sides of the inequality:

Different signs are subtracted and the major sign is placed.

Thus, the solution is given by all the values of "x" less than -5.
The solution set is: (-∞, - 5)
Answer:

See attached image